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arXiv · 1703.02623

The G-centre and gradable derived equivalences

Kevin Coulembier·Volodymyr Mazorchuk
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Abstract

We propose a generalisation for the notion of the centre of an algebra in the setup of algebras graded by an arbitrary abelian group G. Our generalisation, which we call the G-centre, is designed to control the endomorphism category of the grading shift functors. We show that the G-centre is preserved by gradable derived equivalences given by tilting modules. We also discuss links with existing notions in superalgebra theory and apply our results to derived equivalences of superalgebras.

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Kevin Coulembier, Volodymyr Mazorchuk. 2017-03-07. The G-centre and gradable derived equivalences. https://arxiv.org/abs/1703.02623

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